Representations of solvable Lie groups[electronic resource] :basic theory and examples

  • 作者: Arnal, Didier,
  • 其他作者: Currey, Bradley,
  • 出版: Cambridge : Cambridge University Press 2020.
  • 稽核項: xiii, 448 p. :ill., digital ;24 cm.
  • 叢書名: New mathematical monographs ;39
  • 標題: Solvable groups. , Representations of Lie groups.
  • ISBN: 1108428096 , 9781108428095
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  • 附註: Title from publisher's bibliographic system (viewed on 22 Apr 2020).
  • 摘要: The theory of unitary group representations began with finite groups, and blossomed in the twentieth century both as a natural abstraction of classical harmonic analysis, and as a tool for understanding various physical phenomena. Combining basic theory and new results, this monograph is a fresh and self-contained exposition of group representations and harmonic analysis on solvable Lie groups. Covering a range of topics from stratification methods for linear solvable actions in a finite-dimensional vector space, to complete proofs of essential elements of Mackey theory and a unified development of the main features of the orbit method for solvable Lie groups, the authors provide both well-known and new examples, with a focus on those relevant to contemporary applications. Clear explanations of the basic theory make this an invaluable reference guide for graduate students as well as researchers.
  • 電子資源: https://dbs.tnua.edu.tw/login?url=https://doi.org/10.1017/9781108552288
  • 系統號: 005338406
  • 資料類型: 電子書
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  • 引用網址: 複製連結